Given is the following set of equations X1 4.8 18 10.8 38.4 X2 7 14.68 39.4 X3 where the coefficient matrix is designated as A
Given is the following set of equations X1 4.8 18 10.8 38.4 X2 7 14.68 39.4 X3 where the coefficient matrix is designated as A
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Question 2
Given is the following set of equations
2
X1
4.8
18
10.8
38.4
X2
14.68 39.4
X3
8
where the coefficient matrix is designated as A
and the right hand side vector as C
The LU decomposition of [A] is given as
9.
1
0 0
9.
18
10.8
38.4
3.6
1
0 3.6 6
0 0
7
14.68 39.4
1.4 3.3 1
and if [L][Z] – [C] and [U][X] = [Z] , then z9
and x2
Z2
x2
I don't know](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2828890-e758-4d3f-889f-4bdd3ee1fb27%2F41d96683-955f-4c93-bfc9-fd1c2297a183%2Fjuc8gk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2
Given is the following set of equations
2
X1
4.8
18
10.8
38.4
X2
14.68 39.4
X3
8
where the coefficient matrix is designated as A
and the right hand side vector as C
The LU decomposition of [A] is given as
9.
1
0 0
9.
18
10.8
38.4
3.6
1
0 3.6 6
0 0
7
14.68 39.4
1.4 3.3 1
and if [L][Z] – [C] and [U][X] = [Z] , then z9
and x2
Z2
x2
I don't know
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